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# Test if Array may be generated the place no component is Geometric imply of neighbours

Given two integers P and N denoting the frequency of optimistic and adverse values, the duty is to verify when you can assemble an array utilizing P optimistic parts and N adverse parts having the identical absolute worth (i.e. when you use X, then adverse integer might be -X) such that no component is the geometric imply of its neighbours.

Examples:

Enter: P = 3, N = 2
Output: True
Rationalization: it’s potential to create an array : X, X, -X, -X, X

Enter: P = 4, N = 0
Output: False

Strategy: Beneath is the commentary for the strategy:

B is alleged to be the geometric imply of A and C if B2 = A*C.
Since B2 is all the time optimistic, So, both B = X or B = -X and B2 = X2 as a result of X*X = X2 and (-X)*(-X) = X2.

Therefore, the Predecessor and Successor have all the time reverse signal.
So the array may have a sample like {X, X, -X, -X, X, X}

Primarily based on the above commentary the answer may be derived as:

• If the distinction between P and N is bigger than 2 then the above association isn’t potential.
• If the distinction is strictly 2 then:
• In the event that they happen odd instances every, the association gained’t be potential as there might be a section like {X, -X, X} or {-X, X, -X}.
• In any other case, the association is feasible
• If the distinction is lower than 2, then the association is all the time potential.

Beneath is the implementation of the above strategy:

## C++

 ` `  `#embrace ` `#outline ll lengthy lengthy` `utilizing` `namespace` `std;` ` `  `bool` `checkGM(``int` `P, ``int` `N)` `{` `    ` `    ` `    ``if` `(``abs``(P - N) >= 3)` `        ``return` `false``;` `    ``if` `(``abs``(P - N) == 2) {` `        ``if` `(P & 1)` `            ``return` `false``;` `        ``else` `            ``return` `true``;` `    ``}` `    ``return` `true``;` `}` ` `  `int` `essential()` `{` `    ``ll P = 3, N = 2;` ` `  `    ` `    ``bool` `ans = checkGM(P, N);` `    ``if` `(ans)` `        ``cout << ``"True"``;` `    ``else` `        ``cout << ``"False"``;` `    ``return` `0;` `}`

Time Complexity: O(1)
Auxiliary Area: O(1)

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